Answer:
A formula for the nth term of the given sequence is:
Step-by-step explanation:
Given the sequence
36, -48, 64...
We know that a geometric sequence has a constant ratio r and is defined by
Compute the ratios of all the adjacent terms
The ratio of all the adjacent terms is the same and equal to
Therefore, the given sequence is a geometric sequence.
As the first element of the sequence is
so substituting and in the nth term
Therefore, a formula for the nth term of the given sequence is: